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21481169421964 = 22717181475952391
BaseRepresentation
bin1001110001001011110010…
…11110010000011010001100
32211001120122122001011111011
410320211321132100122030
510303421413333000324
6113404151335135004
74344651255255010
oct470457136203214
984046578034434
1021481169421964
11693212714243a
1224ab240214464
13bca88639ba75
145439a0a52540
15273b93eaec94
hex13897979068c

21481169421964 has 96 divisors (see below), whose sum is σ = 45751343339520. Its totient is φ = 8614827187200.

The previous prime is 21481169421961. The next prime is 21481169421989. The reversal of 21481169421964 is 46912496118412.

It is a super-2 number, since 2×214811694219642 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21481169421899 and 21481169421908.

It is not an unprimeable number, because it can be changed into a prime (21481169421961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409990209 + ... + 410042599.

It is an arithmetic number, because the mean of its divisors is an integer number (476576493120).

Almost surely, 221481169421964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21481169421964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22875671669760).

21481169421964 is an abundant number, since it is smaller than the sum of its proper divisors (24270173917556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21481169421964 is a wasteful number, since it uses less digits than its factorization.

21481169421964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57359 (or 57357 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 58.

The spelling of 21481169421964 in words is "twenty-one trillion, four hundred eighty-one billion, one hundred sixty-nine million, four hundred twenty-one thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 181 238 362 476 724 1267 2534 3077 4759 5068 6154 9518 12308 19036 21539 33313 43078 52391 66626 80903 86156 104782 133252 161806 209564 323612 366737 566321 733474 861379 890647 1132642 1466948 1722758 1781294 2265284 3445516 3562588 6029653 6234529 9482771 12059306 12469058 14643443 18965542 24118612 24938116 29286886 37931084 58573772 66379397 102504101 132758794 161207107 205008202 249328769 265517588 322414214 410016404 498657538 644828428 997315076 1128449749 1745301383 2256899498 3490602766 4238589073 4513798996 6981205532 8477178146 16954356292 29670123511 45128507189 59340247022 90257014378 118680494044 180514028756 315899550323 631799100646 767184622213 1263598201292 1534369244426 3068738488852 5370292355491 10740584710982 21481169421964